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Finding the Fourth Proportional to 551,656.78, 827,423.21 and 152,354.32

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Solution

The fourth proportional to 551,656.78, 827,423.21 and 152,354.32 is: 228,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,656.78 : 827,423.21 = 152,354.32 : x
  2. Step 2: Convert to fraction form
    551,656.78/827,423.21 = 152,354.32/x
  3. Step 3: Cross multiply
    551,656.78x = 827,423.21 × 152,354.32
  4. Step 4: Simplify right side
    551,656.78x = 126,061,500,511.77
  5. Step 5: Solve for x
    x = 126,061,500,511.77/551,656.78
  6. Step 6: Final answer
    x = 228,514.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.